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Classification of circle bundles over $\mathbb{RP}^2$

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#algebraic-topology #fiber-bundles #characteristic-classes #classifying-spaces #obstruction-theory
113
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Expressing a term in $BH\to BG \to B(G/H) $ as a function of the other two. Classifying spaces and fibrations.

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#algebraic-topology #homotopy-theory #classifying-spaces
56
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Classifying maps and transition functions

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#algebraic-topology #homotopy-theory #fiber-bundles #principal-bundles #classifying-spaces
44
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A description of the map between Grassmanians $G_1^k \rightarrow G_k$,

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#algebraic-topology #differential-topology #homotopy-theory #characteristic-classes #classifying-spaces
115
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The cohomology $H^*(BU(n); R)$

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#algebraic-topology #homotopy-theory #characteristic-classes #classifying-spaces
415
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What is relation between the path fibration of classifying map and the Borel construction

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#algebraic-topology #homotopy-theory #fiber-bundles #classifying-spaces
55
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A stable system of vector bundles can be obtained by pulling back the universal stable system

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#algebraic-topology #homotopy-theory #classifying-spaces
259
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Cohomology of classifying space

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#algebraic-topology #homology-cohomology #group-cohomology #classifying-spaces
733
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K-theory of classifying spaces

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#algebraic-topology #k-theory #topological-k-theory #classifying-spaces
72
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Classification and Parametrization in Algebraic Geometry and Algebraic Topology - Book recommendation

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#algebraic-geometry #algebraic-topology #book-recommendation #classifying-spaces
72
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How much the discrete subgroups of $\mathrm{O}(n)$ can be complicated?

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#group-theory #lie-groups #classifying-spaces
534
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Total Space of Classifying Space Contractible

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#algebraic-topology #homotopy-theory #fiber-bundles #principal-bundles #classifying-spaces
297
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homotopy equivalent structure groups have h.e. classifying spaces (if $G\simeq H$ then $BG\simeq BH$)

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#homotopy-theory #vector-bundles #principal-bundles #classifying-spaces
117
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Eilenberg-Mac Lane and classifying spaces

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#homotopy-theory #classifying-spaces
103
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Unit or non-zero octonions form an $A_\infty$-space?

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#algebraic-topology #classifying-spaces #octonions

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